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Question

Question: An ideal gas having molar specific heat capacity at constant volume \(\frac { 3 } { 2 }\) is R, the...

An ideal gas having molar specific heat capacity at constant volume 32\frac { 3 } { 2 } is R, the molar specific heat capacities at constant pressure is

A

12\frac { 1 } { 2 } R

B

52\frac { 5 } { 2 }R

C

72\frac { 7 } { 2 } R

D

92\frac { 9 } { 2 } R

Answer

52\frac { 5 } { 2 }R

Explanation

Solution

: here, CV=32RC _ { V } = \frac { 3 } { 2 } R

SinceCpCV=RC _ { p } - C _ { V } = R

Cp=CV+R=32R+R=52R\therefore C _ { p } = C _ { V } + R = \frac { 3 } { 2 } R + R = \frac { 5 } { 2 } R